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Abstract We prove that each positive power of the maximal ideal of a commutative Noetherian local ring is Tor-rigid and strongly rigid. This gives new characterizations of regularity and, in… Click to show full abstract
Abstract We prove that each positive power of the maximal ideal of a commutative Noetherian local ring is Tor-rigid and strongly rigid. This gives new characterizations of regularity and, in particular, shows that such ideals satisfy the torsion condition of a long-standing conjecture of Huneke and Wiegand.
Keywords:
powers maximal;
ideal vanishing;
vanishing homology;
maximal ideal
Journal Title: Glasgow Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Glasgow Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!